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Mathematics, 20.04.2021 07:00 seahorse0

The graph of f is shown. The x y-coordinate plane is given. The graph labeled y = f(x) is made up of 4 connected line segments.
The first line segment starts at the point (0, 5) on the y-axis, goes up and right, and ends at the point (10, 15).
The second line segment starts at (10, 15), goes horizontally right, and ends at the point (15, 15).
The third line segment starts at the point (15, 15), goes down and right, crosses the x-axis at x = 25, and ends at the point (35, −15).
The fourth line segment starts at the point (35, −15), goes up and right, and ends at the point (45, −10).
Evaluate each integral by interpreting it in terms of areas.
(a)
10

0
f(x) dx
100

Correct: Your answer is correct.
(b)
25

0
f(x) dx
10

Incorrect: Your answer is incorrect.
(c)
35

25
f(x) dx
(d)
35

15
f(x) dx
(e)
35

15
|f(x)| dx
(f)
0

10
f(x) dx
-100

Correct: Your answer is correct.

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Answers: 2

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